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Finding the Fourth Proportional to 9,460.96, 14,200.18 and 4,784.28

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Solution

The fourth proportional to 9,460.96, 14,200.18 and 4,784.28 is: 7,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.96 : 14,200.18 = 4,784.28 : x
  2. Step 2: Convert to fraction form
    9,460.96/14,200.18 = 4,784.28/x
  3. Step 3: Cross multiply
    9,460.96x = 14,200.18 × 4,784.28
  4. Step 4: Simplify right side
    9,460.96x = 67,937,637.17
  5. Step 5: Solve for x
    x = 67,937,637.17/9,460.96
  6. Step 6: Final answer
    x = 7,180.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.